Find the critical point and the interval on which the given function is increasing or decreasing, and apply the First Derivative Test to the critical point. Let f(x) = 7x2 + 5.

Is f a maximum or minimum at the critical point?

Find the interval on the left of the critical point.

On this interval, f is

a. increasing

b. decreasing

while f is

a. positive

b. negative

Find the interval on the right of the critical point.

On this interval, f is

a. increasing

b. decreasing

while f is

a. positive

b. negative

critical point is 0

f is maximum because at the critical point we substitute x = 0 at the derivative

Step-by-step explanation:

the critical point is at the point x= 0 after taking the derivative, we equate it to zero and the result is 0.

f is maximum because at the critical point we substitute x = 0 at the derivative  we have 5 > 0

the interval on the left of the critical point is - infinity < f< 0

on this interval increasing while f is negative

on the right of critiocal point 0 >= f < +infinity

on this interval f is increasing while f is positive.

20

step-by-step explanation:

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.